This document provides examples of calculating the perimeter and area of various shapes. It begins by defining perimeter as the distance around the outside of a shape and providing examples of calculating perimeters of squares and rectangles by counting sides. It then defines area as the amount of space inside a shape and provides examples of calculating areas of squares and rectangles by counting squares. It introduces composite shapes and provides a method to calculate total area by splitting a shape into rectangles. Finally, it uses two sample pool shapes to demonstrate calculating perimeter and area and determining which family's pool has more side panels to clean and which has a larger swimming area.

1. LEENAVAISH1506@GMAIL.COM

2. First we need to find the length of each side by
counting the squares.
( Each box stands for 1 cm)
8 cm
6 cm
6 cm
The distance
around the
outside of a
shape is called
its perimeter.
8 cm
The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.

3. 18cm
20 cm
What is the
perimeter of each
of these shapes?
22 cm
20 cm
26cm

4. Now find the
perimeter of these
shapes. They are
not drawn to
scale.
5cm
3cm
3cm
4cm
3cm
3cm
7cm
3cm
7cm
3cm
3cm
Perimeter = 18cm
4cm
3cm
3cm
3cm
4cm
4cm
3cm
Perimeter = 22cm
Perimeter = 28cm

5. To find out how much shape is inside we can
count the squares.
The area of a
shape is the
amount of space
inside it.
The area of the shape is 18cm2.

6. 12cm2
22cm2
What is the area
of each of these
shapes?
26cm2

7. This is an irregular
shape. This
means that the
sides aren’t
straight.
To find the area of
an irregular shape
you first count the
full squares inside
it.

8. You then count all
the other squares
which have more
than half the area
covered.
The area of the shape is 60cm2.

9. 24cm2
25cm2
What is the area of
each of these
shapes?
35cm2
22cm2

10. The rectangle is made of 6 rows of 8 squares.
To work out the number of squares
we times 6 by 8.
Counting each
square can take a
long time. Does
anyone know a
quicker way?
The area of the shape is 48cm2.

11. 18cm2
2
20cm
What is the area
of each of these
shapes?
30cm2
14cm2
22cm2

12. We can work out the area of a rectangle
without the grid.
length
width
Area = length x width

13. Now work out the
area of these
rectangles.
They are not
drawn to scale.
7cm
9cm
2
35cm2
36cm
5cm
5cm
20cm2
12.5cm
4cm
2cm
25cm2
4cm

14. 4cm
Total area = 40 + 32 = 72 cm2
2cm
10cm
4cm
Area =
4 x 10
Area =
4x8
2
40cm
32cm2
8cm
A shape that is
made from other
shapes is known
as a composite
shape.
8cm
To find the area of
this shape we
have to split it up
into two
rectangles.

15. 5cm
Find the area and
perimeter of each
of these shapes?
2cm
4cm
9cm
5cm
2cm
4cm
2cm
4cm
5cm
11cm
3cm
3cm
5cm
4cm
3cm
6cm
4cm
7cm
7cm
6cm
11cm

16. 5cm
2cm
9cm
Area =
5x9
45cm
Area =
4x5
4cm
5cm
2
20cm2
4cm
2cm
5cm
Total area = 45 + 20 = 65 cm
Perimeter = 36 cm
2

17. Total area = 10 + 36 = 46 cm
2
Perimeter = 34 cm
2cm
Area =
2x5
10cm2
11cm
5cm
4cm
Area =
6x6
36cm2
6cm
6cm

18. Total area = 28 + 16 + 21 = 65 cm
2
Perimeter = 42 cm
Area =
4x7
28cm2
Area =
4x4
16cm2
4cm
3cm
3cm
3cm
4cm
7cm
7cm
11cm
There is
another way of
doing this
question.
Area =
3x7
21cm2

19. Total area = 77 – 12 = 65 cm
Perimeter = 42 cm
Area =
3 x 4 12cm2
4cm
3cm
3cm
3cm
4cm
7cm
Area =
7 x 11
7cm
77cm2
11cm
2

20. LET US SOLVE THE
FOLLOWING PROBLEM….
FAMILY A
FAMILY B

21. Now look at those same two pools. Which family
has more side panels of the pool to clean?
The perimeter of Family A’s pool is 12 units long.
The perimeter of Family B’s pool is 14 units long.
Therefore, Family B has more side
panels of the pool to clean.
Family A
Family B

22. The area of Family A’s pool is?
8 square units.
The area of Family B’s pool is?
7 square units
Therefore, Family A has the pool with
the bigger swimming area.
Family A
Family B

23. THANK YOU